Question

What number gives a result of -2 when 5 is subtracted from the quotient of the number and 4 ?

Answer 1

Hello!

Answer:

`\Large \boxed{\sf 12}`

Explanation:

→ We want to find what number gives a result of -2 when 5 is subtracted from the quotient of the number and 4.

→ Let x be our number.

→ So we have this equation:

`\sf (x)/(4) -5= -2`

→ To find the number, let's solve this equation:

◼ Add 5 to both sides:

`\sf (x)/(4) -5+5= -2+5`

◼ Simplify both sides:

`\sf (x)/(4) = 3`

◼ Multiply both sides by 4:

`\sf (x)/(4) * 4= 3 * 4`

◼ Simplify both sides:

`\boxed{\sf x= 12}`

Conclusion:

The number that gives a result of -2 when 5 is subtracted from the quotient of the number and 4 is 12.